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Finding the Third Proportional to 195,005,874,900 and 274,611,243,294

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Solution

The third proportional to 195,005,874,900 and 274,611,243,294 is: 386,713,143,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,874,900 : 274,611,243,294 = 274,611,243,294 : x
  2. Step 2: Convert to fraction form
    195,005,874,900/274,611,243,294 = 274,611,243,294/x
  3. Step 3: Cross multiply
    195,005,874,900x = 274,611,243,294 × 274,611,243,294
  4. Step 4: Simplify right side
    195,005,874,900x = 75,411,334,943,476,457,406,464
  5. Step 5: Solve for x
    x = 75,411,334,943,476,457,406,464/195,005,874,900
  6. Step 6: Final answer
    x = 386,713,143,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.